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Finding the Fourth Proportional to 6,376.83, 9,554.29 and 5,064.63

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Solution

The fourth proportional to 6,376.83, 9,554.29 and 5,064.63 is: 7,588.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376.83 : 9,554.29 = 5,064.63 : x
  2. Step 2: Convert to fraction form
    6,376.83/9,554.29 = 5,064.63/x
  3. Step 3: Cross multiply
    6,376.83x = 9,554.29 × 5,064.63
  4. Step 4: Simplify right side
    6,376.83x = 48,388,895.27
  5. Step 5: Solve for x
    x = 48,388,895.27/6,376.83
  6. Step 6: Final answer
    x = 7,588.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.